Search a number
-
+
40620384 = 2532720149
BaseRepresentation
bin1001101011110…
…1000101100000
32211102201200200
42122331011200
540344323014
64010345200
71002160530
oct232750540
984381620
1040620384
1120a24772
121172b200
13855303c
1455754c0
153875a09
hex26bd160

40620384 has 72 divisors (see below), whose sum is σ = 132022800. Its totient is φ = 11605248.

The previous prime is 40620383. The next prime is 40620389. The reversal of 40620384 is 48302604.

40620384 is a `hidden beast` number, since 4 + 0 + 620 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40620383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8059 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (1833650).

Almost surely, 240620384 is an apocalyptic number.

It is an amenable number.

40620384 is an abundant number, since it is smaller than the sum of its proper divisors (91402416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40620384 is a wasteful number, since it uses less digits than its factorization.

40620384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172 (or 20161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40620384 is about 6373.4122728724. The cubic root of 40620384 is about 343.7541961361.

Adding to 40620384 its reverse (48302604), we get a palindrome (88922988).

The spelling of 40620384 in words is "forty million, six hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20149 40298 60447 80596 120894 141043 161192 181341 241788 282086 322384 362682 423129 483576 564172 644768 725364 846258 967152 1128344 1269387 1450728 1692516 1934304 2256688 2538774 2901456 3385032 4513376 5077548 5802912 6770064 10155096 13540128 20310192 40620384